Several things:
One. - mail is still delivered to NH...at least it was back in the 1950's when I lived in Meriden. Ordering a few soft fire bricks will be cheap and they will come to your door. Zaph, Hightemptools, many knife supply companies, and many refractory and pottery suppliers sell them.
Two - NH has several suppliers that sell what you want. Google "Refractory suppliers in NH" and "Pottery suppliers in NH" for a start.
Three - an all hard refractory oven will need a lot more heat supply, and an insulating jacket of wool and/or insuboard to work. Those type bricks are made to be fire resistant , not insulating. They will get hot all the way through. It would take a big burner and a long time to heat up. Once fully soaked, it would work, but for the money and difficulty, it would be far better to build a regular forge.
Four - a small regular forge can be easily built for $70-100 or less. Since most cobbled together mini-forges cost around $50 and will do only very basic forging and really poor heat treatment, why not spend the extra few bucks and build a good tool you can use for the next ten years.
Five - If the build of a burner and small regular forge is totally out of the question, a simple small forge can still be built from a paint can/#10 can/ stove pipe/gallon coffee can/rolled up piece of sheet metal/etc. Look for any metal cylinder that is about 6-8" diameter and 10-12" long.
You will need a 12"X18" wide piece of 1" thick Kaowool and a pound of Satanite to line it. A JTH or similar torch can provide the heat source. Mapp gas is best for the fuel. I bet several folks on this forum would cut off a scarp of K-wool and scoop a baggie full of satanite and give it to you for the shipping. The New England Bladesmiths Guild and several other groups in your area have regular get togethers where I'm sure someone could hand you the box of materials for free. You will need to put a 1" hole through the tube and insulation about 2/3 the way back, for the torch or burner to stick in. Four fire bricks ( hard or soft) will make do for blocking off the back and front. This should cost about the same as a four brick forge and be much better.
Six - when looking for fire brick, always ask for soft fire brick.